Answer:
Approximately 11 feet.
Step-by-step explanation:
Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:
= 
+ 
- 2abCos C
⇒ 
= 
+ 
- 2(8 x 12) Cos
= 64 + 144 - 192 x 0.42262
= 208 - 81.143
= 126.857
x = 
= 11.2631
x ≅ 11
The length of the third side of the triangle is approximately 11 feet.
Answer:
77
Step-by-step explanation:
½ × base × height
½ × 11 × 14 = 77 units²
Answer:
exact form: r= 9/4
decimal form: r=2.25
mixed number form: r= 2 1/4
Step-by-step explanation:
The answer is 19y – 9.
First, distribute the -3 to ( -4y + 3 ). So:
= ( 12y – 9 ) + 7y
Then, combine like terms. In this case, the like terms are 12y and 7y. So:
= 12y – 9 + 7y
= 19y – 9
